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Finding the Third Proportional to 84,772 and 115,126

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Solution

The third proportional to 84,772 and 115,126 is: 156,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,772 : 115,126 = 115,126 : x
  2. Step 2: Convert to fraction form
    84,772/115,126 = 115,126/x
  3. Step 3: Cross multiply
    84,772x = 115,126 × 115,126
  4. Step 4: Simplify right side
    84,772x = 13,253,995,876
  5. Step 5: Solve for x
    x = 13,253,995,876/84,772
  6. Step 6: Final answer
    x = 156,348.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.